1. Introduction to Fluid Mechanics
Chapter 2
Fundamental Concepts

3. Main Topics پیوستگی سیال میدان سرعت میدان تنش ویسکوزیته تنش سطحی
دسته بندی حرکت سیال

4. Fluid as a Continuum

5. Velocity Field
چگالی نسبی
وزن مخصوص

6. Velocity Field Consider also Steady and Unsteady Flows
1D, 2D, and 3D Flows
Timelines, Pathlines, and Streaklines

8. خط جریان:

9. خط مسیر

10. رگه

12. خط مسیر را برای میدان سرعت داده شده بیابید.

15. Stress Field

16. Viscosity Newtonian Fluids
Most of the common fluids (water, air, oil, etc.)
“Linear” fluids

18. Viscosity Non-Newtonian Fluids
Special fluids (e.g., most biological fluids, toothpaste, some paints, etc.)
“Non-linear” fluids

20. Viscosity
Non-Newtonian Fluids

25. Surface Tension

27. Description and Classification of Fluid Motions

28. Viscous torque is produced by the annular gap around the inner cylinder. Additional viscous torque is produced by the flat bottom of the inner cylinder as it rotates above the flat bottom of the stationary outer cylinder. Obtain an algebraic expression for the viscous torque due to flow in the annular
gap of width a. Obtain an algebraic expression for the viscous torque due to flow in the bottom clearance gap of height b.

30. A viscometer is built from a conical pointed shaft that
turns in a conical bearing, as shown. The gap between shaft
and bearing is filled with a sample of the test oil. Obtain an
algebraic expression for the viscosity μ of the oil as a function
of viscometer geometry (H, a, and θ), turning speed ω,
and applied torque T. For the data given, find by referring to
Figure A.2 in Appendix A, the type of oil for which the
applied torque is N m. The oil is at 20C. Hint: First
obtain an expression for the shear stress on the surface of the
conical shaft as a function of z.